Solve for z. -1(z - 6) - 5 > -8 ______

Distribute -1: Distribute -1 across the parentheses in the inequality -1(z - 6) - 5 > -8. -1 * z + (-1) * (-6) - 5 > -8 -1z + 6 - 5 > -8Combine like terms: Combine like terms on the left side of the inequality. -1z + 6 - 5 becomes -1z + 1 So, -1z + 1 > -8Isolate variable term: Isolate the variable term by subtracting 1 from both sides of the inequality. -1z + 1 - 1 > -8 - 1 -1z > -9Divide and reverse inequality: Divide both sides of the inequality by -1 to solve for z. Remember to reverse the inequality sign because we are dividing by a negative number. -1z / -1 < -9 / -1 z < 9

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

z

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-1(z - 6) - 5 > -8

Distribute $-1$ : Distribute $-1$ across the parentheses in the inequality -1(z - 6) - 5 > -8. $\newline$ -1 \times z + (-1) \times (-6) - 5 > -8 $\newline$ -1z + 6 - 5 > -8
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ $-1z + 6 - 5$ becomes $-1z + 1$ $\newline$ So, -1z + 1 > -8
Isolate variable term: Isolate the variable term by subtracting $1$ from both sides of the inequality. $\newline$ -1z + 1 - 1 > -8 - 1 $\newline$ -1z > -9
Divide and reverse inequality: Divide both sides of the inequality by $-1$ to solve for $z$ . Remember to reverse the inequality sign because we are dividing by a negative number. $\newline$ -1z / -1 < -9 / -1 $\newline$ z < 9